Geometry in Unit 7

What is the relationship between the angles of a circumscribed triangle and the intercepted arcs?

• The angles of a circumscribed triangle are equal to the difference of the intercepted arcs

• The angles of a circumscribed triangle are equal to the sum of the intercepted arcs

• The angles of a circumscribed triangle are equal to half the measure of the intercepted arcs.

• The angles of a circumscribed triangle are equal to the product of the intercepted arcs

If a circle is inside a triangle, what is the relationship between the sides of the triangle and the circle?

• The sides of the triangle are chords of the circle.

• The sides of the triangle are secants to the circle.

• The sides of the triangle are perpendicular to the circle.

• The sides of the triangle are tangents to the circle.

What is the property of a tangent line to a circle in relation to the radius at the point of tangency?

• Perpendicular

• Parallel

• Curved

• Intersecting

In a circle, what is the measure of an angle formed by a tangent and two chords intersecting on the circle?

• Equal to half the measure of the intercepted arc

• Equal to the measure of the tangent

• Equal to the radius of the circle

• Equal to the measure of the chord

If a quadrilateral is inscribed in a circle, what is the relationship between the sum of both sets of opposite angles?

• The sum of both sets of opposite angles is always 90 degrees

• The sum of both sets of opposite angles is always 360 degrees

• The sum of both sets of opposite angles is always 270 degrees

• The sum of both sets of opposite angles in a quadrilateral inscribed in a circle is always 180 degrees.

The measure of an inscribed angle is half the measure of the central angle that defines the same arc.

• Tangent

• Circumcenter

• Incenter

• Inscribed Angle Theorem

The point where the 3 angle bisectors of a triangle meet.

• Incenter

• Tangent

• Circumcenter

• Inscribed Angle Theorem

A line that intersects a circle in exactly one point.

• Incenter

• Tangent

• Circumcenter

• Inscribed Angle Theorem

The point where the 3 perpendicular bisectors of the sides of a triangle meet.

• Intercenter

• Tangent

• Circumcenter

• Inscribed Angle Theorem

Which of the following equations must be true based on the figure?

• 60+58+x=180

• 60+y=x

• 60+58=x

• 58+y=x